2 problems

Let $f(x_1,\ldots,x_n)$ be a homogeneous polynomial evaluated on a domain $\mathcal D$ with $\mathcal D\subseteq\overline{\operatorname{int}\mathcal D}$. Say that $f$ satisfies con…

Conjecture on the independence from $\ell$. The dependency on $\ell$ of the right-hand side of this bound is not important; equivalently, the bound should essentially be independen…